Math Problem Statement
25x 2 −81
Solution
To solve the expression , you can factor it using the difference of squares method.
Step 1: Recognize the difference of squares.
The expression is of the form , where:
- (since )
- (since )
Step 2: Apply the difference of squares formula.
The difference of squares formula is:
Step 3: Substitute the values of and into the formula.
So, the expression factors to:
Would you like more details or have any questions?
Here are five related questions:
- How do you solve a quadratic equation like ?
- Can you explain how to factor expressions that are not perfect squares?
- What are some real-life applications of the difference of squares formula?
- How would you expand back to the original expression?
- How does factoring help in solving polynomial equations?
Tip: Remember, recognizing patterns like the difference of squares can simplify the process of factoring complex expressions!
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Difference of Squares
Formulas
Difference of squares formula: a^2 - b^2 = (a - b)(a + b)
Theorems
-
Suitable Grade Level
Grades 9-12